What is the Least Common Multiple of 12512 and 12523?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 12512 and 12523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12512 and 12523, than apply into the LCM equation.

GCF(12512,12523) = 1
LCM(12512,12523) = ( 12512 × 12523) / 1
LCM(12512,12523) = 156687776 / 1
LCM(12512,12523) = 156687776

Least Common Multiple (LCM) of 12512 and 12523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12512 and 12523. First we will calculate the prime factors of 12512 and 12523.

Prime Factorization of 12512

Prime Factorization of 12523

Now multiplying the highest exponent prime factors to calculate the LCM of 12512 and 12523.

LCM(12512,12523) = 2⁵ × 17¹ × 23¹ × 7¹ × 1789¹
LCM(12512,12523) = 156687776